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Finding the Fourth Proportional to 76,491, 114,608.52 and 54,196.56

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Solution

The fourth proportional to 76,491, 114,608.52 and 54,196.56 is: 81,204.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,491 : 114,608.52 = 54,196.56 : x
  2. Step 2: Convert to fraction form
    76,491/114,608.52 = 54,196.56/x
  3. Step 3: Cross multiply
    76,491x = 114,608.52 × 54,196.56
  4. Step 4: Simplify right side
    76,491x = 6,211,387,530.69
  5. Step 5: Solve for x
    x = 6,211,387,530.69/76,491
  6. Step 6: Final answer
    x = 81,204.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.